User:BudjarnLambeth/5- to 10-tone scales in 72edo: Difference between revisions

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1016.667
1016.667
1200.000
=== Parent MOS scales (for reference) ===
Modes of these scales are still considered to be the same scale.
Marvolo[14]
83.333
166.667
250.000
333.333
416.667
500.000
583.333
616.667
700.000
783.333
866.667
950.000
1033.333
1116.667
1200.000
Marvolo[43]
33.333
50.000
83.333
116.667
133.333
166.667
200.000
216.667
250.000
283.333
300.000
333.333
366.667
383.333
416.667
450.000
466.667
500.000
533.333
550.000
583.333
616.667
650.000
666.667
700.000
733.333
750.000
783.333
816.667
833.333
866.667
900.000
916.667
950.000
983.333
1000.000
1033.333
1066.667
1083.333
1116.667
1150.000
1166.667
1200.000
Miracle[21]
''see [[Blackjack]]''
Miracle[41]
33.333
66.667
83.333
116.667
150.000
183.333
200.000
233.333
266.667
300.000
316.667
350.000
383.333
416.667
433.333
466.667
500.000
533.333
550.000
583.333
616.667
650.000
666.667
700.000
733.333
766.667
783.333
816.667
850.000
883.333
900.000
933.333
966.667
1000.000
1016.667
1050.000
1083.333
1116.667
1133.333
1166.667
1200.000
Neominor[13]
83.333
166.667
250.000
333.333
416.667
500.000
583.333
616.667
700.000
783.333
866.667
950.000
1033.333
1116.667
1200.000
Neominor[38]
16.667
66.667
83.333
133.333
150.000
200.000
216.667
266.667
283.333
300.000
350.000
366.667
416.667
433.333
483.333
500.000
550.000
566.667
583.333
633.333
650.000
700.000
716.667
766.667
783.333
833.333
850.000
900.000
916.667
933.333
983.333
1000.000
1050.000
1066.667
1116.667
1133.333
1183.333
1200.000
Catakleismic[15]
66.667
183.333
250.000
316.667
383.333
500.000
566.667
633.333
700.000
816.667
883.333
950.000
1016.667
1133.333
1200.000
Catakleismic[19]
66.667
133.333
183.333
250.000
316.667
383.333
450.000
500.000
566.667
633.333
700.000
750.000
816.667
883.333
950.000
1016.667
1066.667
1133.333
1200.000
Catakleismic[34]
50.000
66.667
116.667
133.333
183.333
200.000
250.000
266.667
316.667
366.667
383.333
433.333
450.000
500.000
516.667
566.667
583.333
633.333
683.333
700.000
750.000
766.667
816.667
833.333
883.333
933.333
950.000
1000.000
1016.667
1066.667
1083.333
1133.333
1150.000
1200.000
Marvo[16]
16.667
166.667
183.333
333.333
350.000
500.000
516.667
533.333
683.333
700.000
850.000
866.667
1016.667
1033.333
1183.333
1200.000
Marvo[44]
16.667
33.333
50.000
133.333
150.000
166.667
183.333
200.000
216.667
300.000
316.667
333.333
350.000
366.667
383.333
466.667
483.333
500.000
516.666
533.333
550.000
566.667
650.000
666.667
683.333
700.000
716.667
733.333
816.667
833.333
850.000
866.667
883.333
900.000
983.333
1000.000
1016.667
1033.333
1050.000
1066.667
1150.000
1166.667
1183.333
1200.000
Harry[30]
16.667
83.333
100.
166.667
183.334
250.
266.667
333.333
350.
416.666
433.333
500.
516.667
583.333
600.
616.667
683.333
700.
766.667
783.333
850.
866.667
933.333
950.
1016.667
1033.333
1100.
1116.667
1183.333
1200.
Harry[44]
16.667
66.666
83.333
100.
150.
166.667
183.334
233.333
250.
266.667
316.666
333.333
350.
366.667
416.666
433.333
450.
500.
516.667
533.334
583.333
600.
616.667
666.666
683.333
700.
750.
766.667
783.333
833.333
850.
866.667
916.666
933.333
950.
966.667
1016.667
1033.333
1050.
1100.
1116.667
1133.334
1183.333
1200.
Semimiracle[32]
16.666
100.
116.667
133.333
216.667
233.333
250.
333.334
350.
366.667
383.333
466.667
483.333
500.
583.334
600.
616.666
700.
716.667
733.333
816.667
833.333
850.
933.334
950.
966.667
983.333
1066.667
1083.333
1100.
1183.334
1200.
Semimiracle[41]
16.666
33.333
100.
116.667
133.333
150.
216.667
233.333
250.
266.666
333.334
350.
366.667
383.333
450.
466.667
483.333
500.
566.667
583.334
600.
616.666
633.333
700.
716.667
733.333
750.
816.667
833.333
850.
866.666
933.334
950.
966.667
983.333
1050.
1066.667
1083.333
1100.
1166.667
1183.334
1200.
Unidec[26]
50.
100.
133.333
183.333
233.333
283.333
316.667
366.667
416.667
466.667
500.
550.
600.
650.
700.
733.333
783.333
833.333
883.333
916.667
966.667
1016.667
1066.667
1100.
1150.
1200.
Unidec[46]
33.333
50.
83.333
100.
133.333
150.
183.333
216.666
233.333
266.666
283.333
316.667
333.334
366.667
383.334
416.667
450.
466.667
500.
516.667
550.
566.667
600.
633.333
650.
683.333
700.
733.333
750.
783.333
816.666
833.333
866.666
883.333
916.667
933.334
966.667
983.334
1016.667
1050.
1066.667
1100.
1116.667
1150.
1166.667
1200.
Wizard[28]
50.
100.
116.667
166.667
216.667
266.667
316.667
333.333
383.333
433.333
483.333
500.
550.
600.
650.
700.
716.667
766.667
816.667
866.667
916.667
933.333
983.333
1033.333
1083.333
1100.
1150.
1200.
Wizard[50]
16.666
50.
66.666
100.
116.667
150.
166.667
200.
216.667
233.333
266.667
283.333
316.667
333.333
366.667
383.333
400.
433.333
450.
483.333
500.
533.334
550.
583.334
600.
616.666
650.
666.666
700.
716.667
750.
766.667
800.
816.667
833.333
866.667
883.333
916.667
933.333
966.667
983.333
1000.
1033.333
1050.
1083.333
1100.
1133.334
1150.
1183.334
1200.
Bikleismic[26]
33.333
66.667
100.
216.667
250.
283.333
316.667
350.
383.333
500.
533.333
566.667
600.
633.333
666.667
700.
816.667
850.
883.333
916.667
950.
983.333
1100.
1133.333
1166.667
1200.
Bikleismic[38]
33.333
66.667
100.
133.334
150.
183.333
216.667
250.
283.333
316.667
350.
383.333
416.667
450.
466.666
500.
533.333
566.667
600.
633.333
666.667
700.
733.334
750.
783.333
816.667
850.
883.333
916.667
950.
983.333
1016.667
1050.
1066.666
1100.
1133.333
1166.667
1200.
Tritikleismic[42]
16.666
66.667
83.333
100.
150.
166.667
183.333
233.333
250.
300.
316.667
333.333
383.334
400.
416.666
466.667
483.333
500.
550.
566.667
583.333
633.333
650.
700.
716.667
733.333
783.333
800.
816.667
866.667
883.333
900.
950.
966.667
983.333
1033.333
1050.
1100.
1116.667
1133.333
1183.333
1200.
Mirkat[39]
33.333
66.667
100.
116.667
150.
183.333
216.667
250.
283.333
300.
333.333
366.667
400.
433.333
466.667
500.
516.667
550.
583.333
616.667
650.
683.333
700.
733.333
766.667
800.
833.333
866.667
900.
916.667
950.
983.333
1016.667
1050.
1083.333
1100.
1133.333
1166.667
1200.
Quadritikleismic[52]
16.667
33.333
50.
66.667
83.333
100.
200.
216.667
233.333
250.
266.667
283.333
300.
316.667
333.333
350.
366.667
383.333
400.
500.
516.667
533.333
550.
566.667
583.333
600.
616.667
633.333
650.
666.667
683.333
700.
800.
816.667
833.333
850.
866.667
883.333
900.
916.667
933.333
950.
966.667
983.333
1000.
1100.
1116.667
1133.333
1150.
1166.667
1183.333
1200.
Octoid[56]
16.667
33.333
50.
100.
116.667
133.333
150.
166.667
183.333
200.
250.
266.667
283.333
300.
316.667
333.333
350.
400.
416.667
433.333
450.
466.667
483.333
500.
550.
566.667
583.333
600.
616.667
633.333
650.
700.
716.667
733.333
750.
766.667
783.333
800.
850.
866.667
883.333
900.
916.667
933.333
950.
1000.
1016.667
1033.333
1050.
1066.667
1083.333
1100.
1150.
1166.667
1183.333
1200.
Ennealimmal[45]
33.333
50.
83.333
100.
133.333
166.667
183.333
216.667
233.333
266.667
300.
316.667
350.
366.667
400.
433.333
450.
483.333
500.
533.333
566.667
583.333
616.667
633.333
666.667
700.
716.667
750.
766.667
800.
833.333
850.
883.333
900.
933.333
966.666
983.333
1016.666
1033.333
1066.666
1100.
1116.666
1150.
1166.666
1200.
Compton[48]
16.667
66.667
83.333
100.
116.667
166.667
183.333
200.
216.667
266.667
283.333
300.
316.667
366.667
383.333
400.
416.667
466.667
483.333
500.
516.667
566.667
583.333
600.
616.667
666.667
683.333
700.
716.667
766.667
783.333
800.
816.667
866.667
883.333
900.
916.667
966.667
983.333
1000.
1016.667
1066.667
1083.333
1100.
1116.667
1166.667
1183.333
1200.
Hemiennealimmal[54]
16.667
50.
66.667
83.333
116.667
133.333
150.
183.333
200.
216.667
250.
266.667
283.334
316.667
333.334
350.
383.334
400.
416.667
450.
466.667
483.334
516.667
533.334
550.
583.334
600.
616.667
650.
666.667
683.334
716.667
733.334
750.
783.334
800.
816.667
850.
866.667
883.334
916.667
933.334
950.001
983.334
1000.001
1016.667
1050.001
1066.667
1083.334
1116.667
1133.334
1150.001
1183.334
1200.000
Hours[48]
16.667
50.
66.667
100.
116.667
150.
166.667
200.
216.667
250.
266.667
300.
316.667
350.
366.667
400.
416.667
450.
466.667
500.
516.667
550.
566.667
600.
616.667
650.
666.667
700.
716.667
750.
766.667
800.
816.667
850.
866.667
900.
916.667
950.
966.667
1000.
1016.667
1050.
1066.667
1100.
1116.667
1150.
1166.667


1200.
1200.

Revision as of 07:07, 24 May 2024

72edo is a tuning which supports many fractional-octave temperaments. It is also a zeta peak and zeta gap EDO, meaning it approximates the harmonic series very well for its size.

This article lists some 5- to 10-note scales in 72edo. The tuning of each scale degree is given in cents.

Subsets of MOS scales

Marvolo[43]

Miracle[41]

Blackjack

Blackjack is a MOS of Miracle[21] in 72edo which has useful properties. It was constructed by George Secor, Dave Keenan and Paul Erlich.


Slendric6 (exact tuning from 36edo)

233.333

466.667

700.000

933.333

966.667

1200.000

Neominor[38]

Catakleismic[34]

Marvo[44]

Palace (approximated from Porky in 29edo)

166.667

316.667

500.000

700.000

866.667

1016.667

1200.000

Harry[44]

Palace (approximated from Porky in 29edo)

166.667

316.667

500.000

700.000

866.667

1016.667

1200.000

Semimiracle[42]

Slendric6 (exact tuning from 36edo)

233.333

466.667

700.000

933.333

966.667

1200.000

Unidec[46]

Slendric6 (exact tuning from 36edo)

233.333

466.667

700.000

933.333

966.667

1200.000

Wizard[50]

Bikleismic[38]

Tritikleismic[42]

Mirkat[39]

Quadritikleismic[52]

Octoid[56] (includes 8edo)

Ennealimmal[45] (includes 9edo)

Compton[48] (includes 12edo)

Major scales

Ionian Pentatonic (exact tuning from 12edo)

400.000

500.000

700.000

1100.000

1200.000


Major (exact tuning from 12edo)

200.000

400.000

500.000

700.000

900.000

1100.000

1200.000


Flattened Major (approximated from Compton in 96edo)

200.000

383.333

500.000

700.000

883.333

1083.333

1200.000


Major Pentatonic (exact tuning from 12edo)

200.000

400.000

700.000

900.000

1200.000


Flattened Major Pentatonic (approximated from Compton in 96edo)

183.333

383.333

700.000

883.333

1200.000

Minor scales

Minor (exact tuning from 12edo)

200.000

300.000

500.000

700.000

800.000

1000.000

1200.000


Sharpened Minor (approximated from Compton in 96edo)

200.000

316.667

500.000

700.000

816.667

1016.667

1200.000


Minor Harmonic (exact tuning from 12edo)

200.000

300.000

500.000

700.000

800.000

1100.000

1200.000


Sharpened Minor Harmonic (approximated from Compton in 96edo)

216.667

316.667

516.667

716.667

816.667

1116.667

1200.000


Minor Harmonic Pentatonic I (exact tuning from 12edo)

200.000

300.000

700.000

1100.000

1200.000


Sharpened Minor Harmonic Pentatonic I (approximated from Compton in 96edo)

216.667

316.667

716.667

1116.667

1200.000


Minor Harmonic Pentatonic II (exact tuning from 12edo)

300.000

500.000

700.000

1100.000

1200.000


Minor Hexatonic (exact tuning from 12edo)

200.000

300.000

500.000

700.000

1000.000

1200.000


Evened Minor Hexatonic (approximated from Compton in 96edo)

183.333

316.667

500.000

700.000

983.333

1200.000


Minor Melodic (exact tuning from 12edo)

200.000

300.000

500.000

700.000

900.000

1100.000

1200.000


Minor Pentatonic (exact tuning from 12edo)

300.000

500.000

700.000

1000.000

1200.000


Sharpened Minor Pentatonic (approximated from Compton in 96edo)

316.667

500.000

700.000

1016.667

1200.000

Modal scales

Dorian (exact tuning from 12edo)

200.000

300.000

500.000

700.000

900.000

1000.000

1200.000


Sharpened Dorian (approximated from Compton in 96edo)

216.667

316.667

516.667

716.667

916.667

1016.667

1200.000


Dorian Harmonic (exact tuning from 12edo)

200.000

300.000

600.000

700.000

900.000

1000.000

1200.000


Sharpened Dorian Harmonic (approximated from Compton in 96edo)

216.667

316.667

616.667

716.667

916.667

1016.667

1200.000


Mixolydian Pentatonic (exact tuning from 12edo)

400.000

500.000

700.000

1000.000

1200.000


Phrygian (exact tuning from 12edo)

100.000

300.000

500.000

700.000

800.000

1000.000

1200.000


Flattened Phrygian (approximated from Compton in 96edo)

This one has a phonk-like sound.

83.333

283.333

483.333

683.333

783.333

983.333

1200.000


Phrygian Dominant (exact tuning from 12edo)

100.000

400.000

500.000

700.000

800.000

1000.000

1200.000


Phrygian Dominant Hexatonic (exact tuning from 12edo)

100.000

400.000

500.000

700.000

1000.000

1200.000


Evened Phrygian Dominant Hexatonic (approximated from Compton in 96edo)

116.667

383.333

500.000

716.667

983.333

1200.000


Phrygian Dominant Pentatonic (exact tuning from 12edo)

400.000

500.000

700.000

800.000

1200.000


Phrygian Pentatonic (exact tuning from 12edo)

100.000

300.000

700.000

800.000

1200.000


Sharpened Phrygian Pentatonic (approximated from Compton in 96edo)

100.000

316.667

716.667

816.667

1200.000

Blues scales

Blackened skies (this is the original/default tuning)

316.667

500.000

583.333

700.000

783.333

1116.667

1200.000


Lost spirit (approximated from Meantone in 31edo)

316.667

500.000

583.333

700.000

933.333

1016.667

1200.000


Blues Aeolian Hexatonic (exact tuning from 12edo)

300.000

500.000

600.000

700.000

800.000

1200.000


Sharpened Blues Aeolian Hexatonic (approximated from Compton in 96edo)

316.667

500.000

600.000

700.000

800.000

1200.000


Blues Aeolian Pentatonic I (exact tuning from 12edo)

300.000

500.000

700.000

800.000

1200.000


Flattened Blues Aeolian Pentatonic I (approximated from Compton in 96edo)

300.000

500.000

700.000

783.333

1200.000


Blues Aeolian Pentatonic II (exact tuning from 12edo)

300.000

700.000

800.000

1000.000

1200.000


Sharpened Blues Aeolian Pentatonic II (approximated from Compton in 96edo)

316.667

716.667

800.000

1000.000

1200.000


Blues Bright Double Harmonic (exact tuning from 12edo)

100.000

400.000

500.000

700.000

800.000

1000.000

1100.000

1200.000


Blues Dark Double Harmonic (exact tuning from 12edo)

200.000

300.000

500.000

600.000

700.000

800.000

1100.000

1200.000


Blues Dorian Hexatonic (exact tuning from 12edo)

300.000

500.000

700.000

900.000

1000.000

1200.000


Blues Dorian Pentatonic (exact tuning from 12edo)

300.000

700.000

900.000

1000.000

1200.000


Blues Dorian Septatonic (exact tuning from 12edo)

300.000

500.000

600.000

700.000

900.000

1000.000

1200.000


Blues Harmonic Hexatonic (exact tuning from 12edo)

200.000

300.000

500.000

700.000

1100.000

1200.000


Blues Harmonic Septatonic (exact tuning from 12edo)

300.000

500.000

600.000

700.000

800.000

1100.000

1200.000


Blues Leading (exact tuning from 12edo)

300.000

500.000

600.000

700.000

1000.000

1100.000

1200.000


Blues Minor (exact tuning from 12edo)

300.000

500.000

600.000

700.000

1000.000

1200.000


Blues Minor Maj7 (exact tuning from 12edo)

300.000

500.000

600.000

700.000

1100.000

1200.000


Flattened Blues Minor Maj7 (approximated from Compton in 96edo)

283.333

500.000

600.000

700.000

1100.000

1200.000


Blues Pentachordal (exact tuning from 12edo)

200.000

300.000

500.000

600.000

700.000

1200.000

Other scales

Augmented (exact tuning from 12edo)

300.000

400.000

700.000

800.000

1100.000

1200.000


Roughened Augmented (approximated from Compton in 96edo)

316.667

400.000

716.667

800.000

1116.667

1200.000


Cosmic (approximated from 32afdo)

500.000

700.000

800.000

1000.000

1200.000


Cosmic 2 (approximated from 32afdo, then rotated)

200.000

300.000

500.000

700.000

1200.000


Deja Vu (approximated from 101afdo)

(This one sounds particularly lush and emotive, good for bittersweet synthwave tracks or things along those lines)

316.667

700.000

816.667

1016.667

1200.000


Dominant Pentatonic (exact tuning from 12edo)

200.000

400.000

700.000

1000.000

1200.000


Double Harmonic (exact tuning from 12edo)

100.000

400.000

500.000

700.000

800.000

1100.000

1200.000


Hirajoshi (exact tuning from 12edo)

200.000

300.000

700.000

800.000

1200.000


Sharpened Hirajoshi (approximated from Compton in 96edo)

200.000

316.667

700.000

816.667

1200.000


Javanese Pentachordal (exact tuning from 12edo)

100.000

300.000

600.000

700.000

1200.000


Roughened Javanese Pentachordal (approximated from Compton in 96edo)

83.333

300.000

616.667

700.000

1200.000


Akebono I (exact tuning from 12edo)

200.000

300.000

700.000

900.000

1200.000


Moonbeam (approximated from 16afdo)

200.000

300.000

700.000

1083.333

1200.000


Palace (approximated from Porky in 29edo)

166.667

316.667

500.000

700.000

866.667

1016.667

1200.000


Underpass (approximated from 10afdo]])

316.667

700.000

916.667

1016.667

1200.000


Whole Tone (exact tuning from 6edo)

200.000

400.000

600.000

800.000

1000.000

1200.000

Hemiennealimmal[54] (includes 18edo)

Hours[48] (includes 24edo)

Palace (approximated from Porky in 29edo)

166.667

316.667

500.000

700.000

866.667

1016.667

1200.000

Other scales

Mechanical (approximated from 16afdo)

300.000

383.333

700.000

966.667

1200.000


Moonbeam (approximated from 16afdo)

200.000

300.000

700.000

1083.333

1200.000


Springwater (approximated from 8afdo)

200.000

383.333

700.000

966.667

1200.000


Volcanic (approximated from 16afdo)

100.000

383.333

700.000

966.667

1200.000


Deja Vu (approximated from 101afdo)

(This one sounds particularly lush and emotive, good for bittersweet synthwave tracks or things along those lines)

316.667

700.000

816.667

1016.667

1200.000


Geode (approximated from 6afdo)

266.667

500.000

700.000

1050.000

1200.000


Mushroom (approximated from 30afdo)

266.667

500.000

700.000

783.333

1200.000


Underpass (approximated from 10afdo)

316.667

700.000

916.667

1016.667

1200.000


Spearmint (approximated from 62afdo)

233.333

483.333

716.667

966.667

1200.000

See also

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